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Volume Information Source: Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 96, No. 674 (Aug. 1, 1919), pp. i-v Published by: The Royal Society Stable URL: http://www.jstor.org/stable/93766 . Accessed: 06/05/2014 00:07 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. http://www.jstor.org This content downloaded from 130.132.123.28 on Tue, 6 May 2014 00:07:38 AM All use subject to JSTOR Terms and Conditions
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Page 1: Volume Information

Volume InformationSource: Proceedings of the Royal Society of London. Series A, Containing Papers of aMathematical and Physical Character, Vol. 96, No. 674 (Aug. 1, 1919), pp. i-vPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/93766 .

Accessed: 06/05/2014 00:07

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of theRoyal Society of London. Series A, Containing Papers of a Mathematical and Physical Character.

http://www.jstor.org

This content downloaded from 130.132.123.28 on Tue, 6 May 2014 00:07:38 AMAll use subject to JSTOR Terms and Conditions

Page 2: Volume Information

PROCEEDIN)GS

OF THE

ROYAL SOCIETY OF LONDON SERIES A

CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER.

VOL. XCVL

LONDON:

PRINTED FOR THE ROYAL SOCIETY AND SOLD BY

HARRISON AND SONS, ST. MARTIN'S LANE, PRINTERS IN ORDINARY TO EIS MAJESTY.

Fft IARY, 1920.

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Page 3: Volume Information

LONDON

ARRISON AND SONS, PRINTERS IN ORDINARY TO ITIS MAJESTYS ST. MARTIN$ LANB

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Page 4: Volume Information

CONTrENTS.

SERIES A. VOL. XCVT.

No. A 674.-August 1, 1919. PAGE

Zona.1 Harmonics of High Order in Terms of Bessel Functions. By John R. Airey, M.A., D.Sc. Communicated by Prof. 3. W. Nicholson, FAS .R..................... 1

Atmnospheric Stirrinig Measured by Pr ecipitation. By Lewis F. Richardson. Com- nmunicated by Sir Napier Shaw, F.R.S. 9.................................................... 9

Measurement of W.ater in Clouds. By L. F. Richardson. Coimnunicated by Sir N apier Shaw, F. R3 . .......................................... ......................... 1-9

Magnetic Storms of March 7-8 and August 15-16, 1918, anid their Discussion. By C. Chree, Sc.D., LL.D., F..RS ...................................................... 32

On the Initer-crystalline Fracture of: Metals under Prolonged Application of Stress (Preliminary Paper). By Walter 'Rosenbain, B.A., D.Sc., F.R.S., and Sydney L. Archbutt, F.T.C. (both of the National Physical Laboratory). (Plates 1-3.) 55

On the Determination of the Secular Acceleration of the Afooi's Longitude from Modern Observations. By Ernest W. Brown, F.R.S ............................... 69

Oni the Area of Surfaces. By Prof. W. HI. Younig, Se.D. F.R.S ..........................71

On Change of the Independent Variables in a Multiple Integral. By Prof. W. H. Young, Sc.D., F.RS ......................... . .. 82

No. A 675.-September 4, 1919.

On Certain Independent Factors in MLental MeasurementsV By J. C. Maxwell Garnett (late Fellow of Trinity College, Cambridge). Comrni unicated by Prof. A. N. Whitehead, F.R.S . ............................................................ 91

Note on the Intensity Decrement in the Balmer Series. By R 1. Merton, D.Sc., and 3. W. Nicholson, X F.RS .. . ..................................................................112

Researches on the Clhemistry of Coal. Part 1.-The Action of Py ridine upon the Coal Substance. By William A. Bone, 1D.Sc., F.RS., and Reginald J. Sarjant, M .S c. ......................... ........................ ............... I ...... ........................ 119

A Study of Catalytic Actions at Solid Surfaces. I.-Hydrogenation of Unsaturated Fats in the Liquid Stat in Presence of Nickiel By E. F. Armstronlg, D.Se., F.I.C., anid T. P. Hilditch, D.Sc., F.I.C. Communicated by Prof. H. E. Armstrong, F.R.S ............................. .................... .................................. 137

The Value of the, Rydberg Conistat for Spectral Series. By W. E. Curtis, B.Sc., Demonstrator of Astrophysics at the Imperial College of Science, South Kensington. Communicated by Prof. A. Fowler F.RS . ........................... 147

Monoclinic Double Selenates of the Cobalt Group. By A. E. H. Tutton, D.Sc., M .A ., F . , . .............................. .............. f.- .......... 156

A 2

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Page 5: Volume Information

i-

PAGE No. A 676.-October 9, 191.9,

The, Tranisparenc'y of Biotite to infra-red Radiations. By L. C. Martini, A.R.C.S., DJI.C., B.Sc., Lecturer in the Technicalt Optics Departmient, Imnperial College of Science anid Technologv. Commuinicated by Prof. H.; L. Callendar, F.R.S... 18,o

Experiments with Perforated Electrodes on the Nature of the Dischiarg in Gases at Low Pressures. By F. W. Astoni, M.A., D.S ., Clerk-Maxwell Studenot of the'University of Cambridge. Com11munlicated by C. T. R. Wilson, F.R.S . ...... 200

De Saint-Venan't Solution for the Flexur-e of Cantilevel-s of Cross-sectioi in the form, of Comnplete and Curtate Circuilar Sectors, and on the Inifluencee of thle Manner of 'Fixiiny the Built-in Enid of the Ca. ntilever on its Deflection. By MVary Seegar, B.S c., and Karl- Pearson, P7.R.S . ...... .......................... 211

On the Relation between Wind anid Distribution of Pressure. By H--arold Jeffreys, m.A., D.Sc. C,ommiu-nicated bySir NapierSbhaw, F.R.S................. 2 33

On a New M-ethiod of Driving of Poisonous CGases. By Mrs. H-ertha Ayrton. Commuinicated by Prof. T. Maher, F.R. S. (Plate 4) .~.... . ..,..,..,......... 2 4 9

No. A 677.--Noveymber 1, 19 9.

Oni the Colours of the Strim in Mica, and thle Padiationi fromi La iinar Diffincting Boundaries. By Phanindra Nath GThoslh, M.A., Le'&turer o-n Optics in the Calcutta University. Conin unicated bv Dr. C(ilbe 4t,1T. Wal11er, C.S,T,,Sc-.D, F.ER1.S...........................I.................... 25-7

Diffusion of Light by Rai a, Cloud, oi ?Fog. By A. Mallock, F.1[i.S, ............267

Bkerian Lectixe: A Study of the Line, SpectirjuIn of Sodiumy as Excited by Filuorescen-ce. Bvy the Honi. R. J. Strutt, F:.RS., imperial College, ki_'outh K eilsington. (Plato 5)... .. ....................................... .272

Thle Ads orption of Gases at Luov anid Moder.'ate Concentrations, Part 3.-Deduc- tion of the Theoretical Adsorption lsosztere and Isotherm. Part 11.-Experi- m-iental'Verification of the F orir of the Theoretical Isostere and isotheri AS,

ByA, M. Willia ins,- M.A., D.Sc., Chemiistrv Department, University of E_1dinburgh. Co aimunicated by Prof. J_am es Walker, F.RKS. .., .~........... ... 2 8 7

The Adsorption of Gases at Low aind Moder-ate C(oncentrations. Part Ill.--Ixperi- mental V'erificationi of the Constants in the Theor'etical Ads-rption I1sostere lIly A. M. Williams, L.A., P.Sc., Chemistry Department, Univer sity of Edinbu rgh. Comaiinuicated by Prof, Jannwe W'alker, FR.S ..... . .............. 298~

No. A 678.--Doeember 15, 1919.~

Address of the P resident,, Sir J. J1. Thomson, 0. M., at the Anniversary Meeting,. Decemiber 1, 1919........................................ 31.

A. Study of Catalytic Actionsat, Solid'Surfaces. '11.-The Transference of Hydrogen from Stuirated to Uns'aturated, Organici Com pounds in the Liqunid State in Presence of Mletallic Nickel.. By Dr. E. F. Armstrong, F.T.C.,, anid -Dr. T. P. 11ilditch F.1.C., Comimunicated by Prof. IL. E. Armstrong .R. ........322

T'idal Friction in the Tirli, Sea. By G. 1. Taylor, M.A. Communicated by Sir Napier Shaw, F.R.S. (Abstract)............ . ..... .... .... I.......,.. ....,........ I-, 330

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Page 6: Volume Information

'V

PAGE

A Linear Associative Algebra suitable for Electromagnetic Relations and the Theory of Relativity. By W. J. Johnston, M.A., Assistant Professor of Pure AMathematics in the University College of Wales, Aberystwyth. Communicated by Sir Joseph Larmor, F.R.S. ........... ............................... 331

On Generalized Relativity in Connection with Mr. W. J. Johnston's Symbolic Calculus. By Sir Joseph Larmor, F.R.S., Cambridge ................................. 334

No. A 679.-January 2, 1920.

On the Variation with Frequency of the Conductivity and Dielectric Constant of Dielectrics for High-Frequency Oscillations. By G. E. Bairsto, D.Sc., D.Eng. Communiicated by Prof. J. A. Fleminig, F.R.S. ......................................... 363

On the Secondary Spectrum of Hydrogen. By T. R. Merton, M.A., D.Sc. Com- municated by Prof. A. Fowler, F.R.S. (Plates 6 and 7) ............................... 382

On the Spectra of Isotopes. By T. R. Merton, M.A., L.Se. Communicated by Prof. A. Fowler F.R 5 388

The Scattering of X- and y-Rays by Rings of Electrons-A Crucial Test of the Electron Ring Theory of Atoms. By G. A. Schott, B.A., D.Sc., Professor of Applied Mathematics, University College of Wales, Aberystwyth. Com- municated by Sir J. Larmor, F.R.S ................................................too...... ... 395

A Note on Dr. Chree's Recent Discussion of Two Magnetic Storms. By S. Chapman, M.A., D.Sc., F.R.S., Professor of Mathematics and Natural Philosophy in the University of Manchester .................*........................ 424

An Explanation of Criticisms on Dr. S. Chapman's Recent Paper, "c An Outline of a Theory of Magnetic Storms." By C. Chree, Sc.D., LL.D. F.R.S . ................ 426

No. A 680.-February 3, 1920.

The Measurement of Magnetic Susceptibilities of Low Order. By Ernest Wilson, M.Inst.C.E., M.I.E.E., Siemens Professor of Electrical Engineering in the University of London. Communicated by Prof. J. W. Nicholson, F.R.S. ...... 429

On the Variations of Wave-length of the Oscillations Generated by Three-electrode Thermionic Tubes due to Changes in Filament Current, Plate Voltage, Grid Voltage or Coupling. By W. H. Eccles, D.Sc., and J. H. Vincent, M.A., D.Sc, Communicated by Prof. W. H. Bragg, C.B.E., F.R.S. ........................... 455

Equal Parallel Cylindrical Conductors in Electrical Problems. By F. J. W. Whipple, M.A. Communicated by Dr. C. Chree, F.R.S .465

OBITUARY NOTICES OF FELLOWS DECEASED.

Sir William Crookes (with portrait) ............................. . . i Sir Joseph Wilson Swan (with portrait) ..................x......... ... ix George Carey Foster .xv

Index .. . .... xix

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